What do you mean by success here? Depending on your definition, I think there are times where the answer is yes. There are clear analogs to the trolley problem in public policy every day.
The answer we have generally come to is based on a psudo kantian interpretation of causality. One innocent can die due to inaction, but you can't actively kill one to save many.
We don't allow nonconsentual body snachers to harvest one person to save many. Alternatively we may allocate finite funds to save several lives instead of a single life. We may also choose not to spend the money to save a life